Villainy, Inc. is a website devoted to helping upper elementary grade students build and use problem-solving skills to solve unique and complex mathematical problems. Students become undercover agents working to thwart the evil Dr. Wick, ID and his often-zany schemes to take over the world. Student activities include finding areas of rectangles, calculating with decimals and percents, finding averages, estimating and comparing whole numbers and decimals, all presented in the context of an animated and interactive cartoon story. Students complete one or both of the missions online. Teachers editions for each mission are provided, as well as additional tips, answer keys, printable worksheets and connections to standards. Note that it is not possible to save work online.

3. Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.[4]

Write and interpret numerical expressions.[5]

2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.[5]

2. Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.[4]

Perform operations with multi-digit whole numbers and with decimals to hundredths.[5]

7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.[5]

1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.[6]

Ratios and Proportional Relationships[6 - 7]

Understand ratio concepts and use ratio reasoning to solve problems.[6]

2. Understand the concept of a unit rate a/b associated with a ratio a:b with b ? 0, and use rate language in the context of a ratio relationship. For example, "This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar." "We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger."[6]

3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.[6]

c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.[6]

Statistics and Probability[6 - 8]

Summarize and describe distributions.[6]

5. Summarize numerical data sets in relation to their context, such as by:

Reporting the number of observations.

Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.

Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

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User Comments

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Fun while learning!By path on 04/19/2012 - 09:55

Students really love this resource. Be sure to have them keep a copy of answers so they can quickly get back to where they left off because you can't save. It's worth it!

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5

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